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Finding the Fourth Proportional to 82.20, 123.27 and 32.77

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Solution

The fourth proportional to 82.20, 123.27 and 32.77 is: 49.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.20 : 123.27 = 32.77 : x
  2. Step 2: Convert to fraction form
    82.20/123.27 = 32.77/x
  3. Step 3: Cross multiply
    82.20x = 123.27 × 32.77
  4. Step 4: Simplify right side
    82.20x = 4,039.56
  5. Step 5: Solve for x
    x = 4,039.56/82.20
  6. Step 6: Final answer
    x = 49.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.